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Finding the Third Proportional to 357,051,472.88 and 551,495,433.09

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Solution

The third proportional to 357,051,472.88 and 551,495,433.09 is: 851,830,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,051,472.88 : 551,495,433.09 = 551,495,433.09 : x
  2. Step 2: Convert to fraction form
    357,051,472.88/551,495,433.09 = 551,495,433.09/x
  3. Step 3: Cross multiply
    357,051,472.88x = 551,495,433.09 × 551,495,433.09
  4. Step 4: Simplify right side
    357,051,472.88x = 304,147,212,723,262,912
  5. Step 5: Solve for x
    x = 304,147,212,723,262,912/357,051,472.88
  6. Step 6: Final answer
    x = 851,830,158.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.